In a large pot, sauté the carrots, celery and onion over medium heat until softened, about 5 minutes.
Season with the salt, pepper and poultry seasoning.
Add in the broth and bring to a gentle boil.
Add the chicken (raw) to the broth to poach it. Turn the heat to medium-low and cover with the lid for 20 minutes.
Remove the chicken and chop or shred.
Take 1 cup of the broth and slowly whisk it into the egg yolks, then add the broth/yolk mixture back into the soup along with the chicken and the frozen peas. If desired, replace the egg/broth mixture with 1 cup of heavy cream to the soup.
In a bowl, whisk together the: 2 cups flour, 1 tbsp baking powder, 1 tsp salt and 1 tbsp dill.
Pour in the melted butter and the milk and stir with a spatula until JUST combined. Do not over mix.
Separate the dough into 8 chunks and form each into a biscuit shape, slightly flattened. Add to the top of the soup and cover.
Cook on medium-low heat for 15 mins (do not open the lid!), check on the biscuits and if they are still too doughy, flip and cover for another 5-10 minutes.